Answer:
5536 calculators
Step-by-step explanation:
We integrate the function dx/dt to obtain the number of new calculators between beginning of the 3rd week and end of week 4. Note that beginning of 3rd week is the same as end of 2nd week. So, 
= 
Let u = t + 12, then 
= 1. So, du = dt. We also change the limits of our integration. So, when t = 2, u = 2 + 12 = 14 and when t = 4, u = 4 + 12 = 16
Then 
= ∫₁₄¹⁶ ![{5000(1 -\frac{100}{u^{2} } )} \, du = 5000[ u + \frac{100}{u} ]](https://tex.z-dn.net/?f=%7B5000%281%20-%5Cfrac%7B100%7D%7Bu%5E%7B2%7D%20%7D%20%29%7D%20%5C%2C%20du%20%3D%205000%5B%20u%20%2B%20%5Cfrac%7B100%7D%7Bu%7D%20%5D)
₁₄¹⁶ = ![5000[16 + \frac{100}{16} - (14 + \frac{100}{14} )] = 5000 [16 - 14 + \frac{100}{16} - \frac{100}{14} ] = 5000 [2 + \frac{100}{16} - \frac{100}{14} ] = 5535.7](https://tex.z-dn.net/?f=5000%5B16%20%2B%20%5Cfrac%7B100%7D%7B16%7D%20-%20%2814%20%2B%20%5Cfrac%7B100%7D%7B14%7D%20%29%5D%20%3D%205000%20%5B16%20-%2014%20%2B%20%5Cfrac%7B100%7D%7B16%7D%20-%20%5Cfrac%7B100%7D%7B14%7D%20%20%5D%20%3D%205000%20%5B2%20%2B%20%5Cfrac%7B100%7D%7B16%7D%20-%20%5Cfrac%7B100%7D%7B14%7D%20%20%5D%20%3D%205535.7)
≈ 5536 calculators
of point B is equal to of point A. Correct option A).
<u>Step-by-step explanation:</u>
Here we have , a straight line in the graph between x-axis & y-axis . There are two points given here, A and B which lie in same line . Equation of line :
, passing through origin . General equation of a line is :
, where m = slope of line , c = x intercept , comparing this equation to to equation of line given in graph we get that m = 3/4 & c =0.
Useful info from here is slope = 3/4 . We know that slope = tan(theta) i.e.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
, which is constant i.e. ratio of y over x is a constant .Hence , of point B is equal to of point A. Correct option A).
First, we need to find out how many siblings the students have in total and how many siblings the teachers have in total.
The students: (1 x 4) = 4 + (2 x 7) = 18 + (3 x 5) = 33 + (4 x 2) = 41. The students have a total of 41 siblings.
The teachers: (1 x 3) = 3 + (2 x 2) = 7 + (3 x 4) = 19 + (4 x 5) = 39 + (5 x 3) = 54 + (6 x 1) = 60 + (8 x 1) = 68. The teachers have a total of 68 siblings.
Now that we have this information, we know that the answer is option 1, the students tend to have fewer siblings than the teachers. This is because the students had a total of 41 siblings and the teachers had a total of 68 siblings, and 41 is less than 68 so the students have fewer siblings than the teachers.
I really hope I could help! I put a lot of work into this answer! :D
Answer:
The correct options are A ,C and F.
Step-by-step explanation:
The given expression is
Calculate the simplified form of given options.
A.
B.
C.
D.
E.
F.
Therefore correct options are A ,C and F.
